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Finding the Fourth Proportional to 6,431.16, 8,872 and 4,163.23

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Solution

The fourth proportional to 6,431.16, 8,872 and 4,163.23 is: 5,743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.16 : 8,872 = 4,163.23 : x
  2. Step 2: Convert to fraction form
    6,431.16/8,872 = 4,163.23/x
  3. Step 3: Cross multiply
    6,431.16x = 8,872 × 4,163.23
  4. Step 4: Simplify right side
    6,431.16x = 36,936,176.56
  5. Step 5: Solve for x
    x = 36,936,176.56/6,431.16
  6. Step 6: Final answer
    x = 5,743.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.